Killer Sudoku All Signs puzzle

Here’s a Killer Sudoku with “all the signs”, or Killer Sudoku Pro if you prefer.  If you’ve got any ideas for a better name let me know!

As in a regular Killer puzzle, you can’t repeat a digit within the solution to any cage.  Unlike in a regular Killer, all non-single cages specify the operation that is applied to produce the result given.  If the operation is + or x then just add or multiply all the digits to give that total.  For subtraction and division you must start with the largest number in the region and subtract or divide the other numbers from that to give the stated result (this is what you’d do intuitively, I think, but since these operations aren’t commutative it’s necessary to state this!)  Other than that, regular Sudoku rules apply: place 1 to 9 into each row, column and bold-lined 3×3 box.

The logic is once again simple, as a first example of this puzzle type, but I think the wider range of operations brings a freshness to the puzzle.  Let me know if you agree (or disagree!).

Good luck!